{
  "id": "2007.06546",
  "version": "v1",
  "published": "2020-07-13T17:50:35.000Z",
  "updated": "2020-07-13T17:50:35.000Z",
  "title": "On the bordism group for group actions on the torus",
  "authors": [
    "Kathryn Mann",
    "Sam Nariman"
  ],
  "categories": [
    "math.GT",
    "math.AT",
    "math.GR"
  ],
  "abstract": "In this short note, we study the bordism problem for group actions on the torus and give examples of groups acting on the torus by diffeomorphisms isotopic to the identity that cannot be extended to an action on a bounding 3-manifold. This solves a question raised in the previous work of the authors.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-13T17:50:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R50",
      "57R19",
      "57M60",
      "19J35",
      "55R40",
      "37C85"
    ],
    "keywords": [
      "group actions",
      "bordism group",
      "short note",
      "bordism problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}